Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 457 · 40 questions

How to think it through (Type, method, check): Name the type of question. Use that lesson’s method — draw it if you can. Check the answer against every clue before you move on.

1. 1.In a group of 44 grown-ups, 19 drink tea, 20 drink coffee and 4 drink both. How many drink exactly one of the two?
2. 2.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
3. 3.The sum of three consecutive even numbers is 48. What is the smallest of them?
4. 4.Rule: If the shop is open, then Dev buys milk. Fact: Dev does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
5. 5.Aditya, Diya and Zoya each have a bag of a different colour: green, white or red. Diya’s bag is not green. Zoya’s bag is not white. Aditya’s bag is not white. Zoya’s bag is not green. Whose bag is red? (a) Aditya (b) Diya (c) Zoya
6. 6.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan gets a medal. What can you say about “Rohan does not win the match”? (a) must be true (b) must be false (c) can't tell
7. 7.Find the missing number. The same rule works in every row or in every column.
   ? | 2 | 6
   2 | 5 | 10
   9 | 4 | 36
8. 8.Find the missing number. The same rule works in every row or in every column.
   19 | 6 | 25
   14 | 19 | 33
   10 | ? | 15
9. 9.Each person always tells the truth or always lies. Meera says: “Siddharth tells the truth.” Siddharth says: “Meera and I are the same kind.” Is Siddharth a truth-teller or a liar? (a) truth-teller (b) liar
10. 10.Farhan is facing East. He turns around (a half turn), then turns around (a half turn), then turns right, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
11. 11.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is not open. What can you say about “Aditya does not buy milk”? (a) must be true (b) must be false (c) can't tell
12. 12.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
13. 13.Yash is a boy. How is Yash’s sister’s daughter related to Yash? (a) sister (b) niece (c) aunt (d) daughter
14. 14.Three friends (Ananya, Ishaan and Yash) sit in a row. Left and right are as you look at them. Ishaan sits at the left end. Yash sits next to both Ishaan and Ananya. Who sits just to the right of Yash? (a) Yash (b) Ananya (c) Ishaan
15. 15.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira gets a gold star”? (a) must be true (b) must be false (c) can't tell
16. 16.Manav is a boy. How is Manav’s sister’s daughter related to Manav? (a) sister (b) niece (c) aunt (d) daughter
17. 17.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
18. 18.Find the missing number. The same rule works in every row or in every column.
    7 | ? | 1
    14 | 1 | 15
    21 | 13 | 16
19. 19.Dev, Karan and Kavya each have a different pet: dog, rabbit or parrot. Karan does not have the parrot. Karan does not have the rabbit. Kavya does not have the rabbit. Which pet does Kavya have? (a) dog (b) rabbit (c) parrot
20. 20.If DOG is written as EPH, how is BOAT written in the same code? (a) ANZS (b) CPBU (c) DQCV (d) UBPC
21. 21.A wooden cube is painted on all six faces, then each edge is cut into 6 equal parts, making small cubes. How many small cubes have exactly three painted faces?
22. 22.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    9 | 2 | 7
    4 | 6 | ?
    5 | 10 | 3
23. 23.The sum of three consecutive even numbers is 240. What is the smallest of them?
24. 24.In a group of 37 children, 26 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
25. 25.Farhan, Tara and Myra each play a different game: chess, football or cricket. Myra does not play football. Farhan does not play cricket. Tara does not play football. Tara does not play cricket. Who plays cricket? (a) Farhan (b) Tara (c) Myra
26. 26.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
27. 27.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 6. What comes out after step 3?
28. 28.Ananya is shorter than Karan. Nisha is taller than Arjun. Ananya is taller than Nisha. Who is the shortest? (a) Arjun (b) Nisha (c) Ananya (d) Karan
29. 29.22 March is a Sunday. What day of the week is 22 April of the same year? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
30. 30.Statements: No caps are boxes. All caps are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
31. 31.Find the missing number. The same rule works in every row or in every column.
    7 | 2 | 15
    12 | 8 | ?
    15 | 8 | 1
32. 32.A clock shows 12:11. What time will it show 44 minutes later? (a) 12:45 (b) 1:55 (c) 12:55 (d) 1:05
33. 33.Aditya, Neel and Rahul each play a different game: cricket, football or carrom. Rahul does not play football. Neel does not play football. Rahul does not play cricket. Who plays football? (a) Aditya (b) Neel (c) Rahul
34. 34.Four friends (Isha, Ishaan, Rohan and Sneha) sit in a row. Left and right are as you look at them. Ishaan sits next to both Isha and Rohan. Ishaan sits somewhere to the left of Sneha. Ishaan sits just to the right of Isha. Who sits at the right end? (a) Rohan (b) Isha (c) Sneha (d) Ishaan
35. 35.Diya runs slower than Karan. Karan runs slower than Neel. Who runs the fastest? (a) Diya (b) Karan (c) Neel
36. 36.How many degrees does the minute hand of a clock turn in 15 minutes? =
37. 37.Which capital letter does NOT look the same in a mirror? (a) M (b) U (c) I (d) B
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 10 × 16 − 9?
39. 39.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 92 42 74 26 17 68. After step 2, what is the 5th number from the left?
40. 40.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =

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